"The remaining sum of $55,000, which Ms. Gosselin used for household bills and expenses relating to the children, will be subject to further determination by the arbitrator at a later date," Kate's lawyer, Mark Momjian says in a statement out Tuesday.

"As difficult as this has been for me, I am pleased that the Court has ruled fairly on behalf of myself and my children. Now that this matter has been ruled on, I look forward to returning to private arbitration, as we have agreed to do, to resolve any remaining issues," Kate Gosselin adds.

If Jon doesn't pony up the cash by Oct. 26, the judge will haul him back to face potential contempt charges. Kate, for her part, by the same date has to detail what expenses she's been spending money on.